Ramani has ¹⁴∕₁₆ pounds of peanuts. He separates them into ²∕₁₆ pound servings. How many servings can he make? *

Answer:

Skyla looks for the x-value at which the graph of the function \(2^x\) intersects the horizontal line defined by the constant function: \(f(x)=128\)

Step-by-step explanation:

Look for an answer that involves something like:

By looking for the point where both functions intersect, Skyla can find for which x value the following equation is verified: \(2^x=128\)

She must read at which x-value the intersection occurs, and that is the answer.

Answer: Intersect at (7,128) and x=7

Step-by-step explanation:

The correct arrangement is 4.5%, 0.3, and 1/7.

To order the percent, decimal, and fraction from least to greatest, we need to find the appropriate value for each of the blanks using the numbers 0-7 exactly once.

Starting with the percent, we can see that 4.5% is the smallest possible value. Moving to the decimal, 0.3 is the next smallest value. Finally, for the fraction, the only remaining option is 1/7.

Therefore, the correct arrangement from least to greatest is 4.5%, 0.3, and 1/7.

It's important to note that the order may not be unique since there could be other valid combinations using the numbers 0-7. However, based on the given information, 4.5% is the smallest, followed by 0.3, and then 1/7.

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Answer:

obviously he's lazy like dude come on exercise big balloon any way just divide 14 by 20

Step-by-step explanation

Answer:

divide 14 by 20

Step-by-step explanation:

I saw the other answer.

The number of ways is 126

From the question, we have

number of ways = C (9,4)

= 9! / (5! * 4!)

= 126  

The number of ways is 126.

Multiplication:

Mathematicians use multiplication to determine the sum of two or more numbers. It is a fundamental mathematical operation that is frequently used in daily life. Multiplication is used to combine groups of like sizes. Multiplication serves as a representation of the fundamental idea of adding the same number repeatedly. The outcome of multiplying two or more numbers is known as the product of those numbers, and the factors are the quantities that are multiplied. Multiplying the numbers makes adding the same number repeatedly simpler.

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Let's try to understand how we can solve this equation

Given equation,4f+2=6f-12

Now we will take the terms on one side and constants on the other.

=> 2+12=6f-4f

=> 14=2f

=>7=f

So, the value of f would be 7. Remember that while bringing value to another side, the sign of that value changes. If it is a positive sign then it is going to be transformed into a negative one and vice versa.

The relative rate of change is the derivative of the function f(t) divided by f(t). we obtained the derivative of f(t) and divided it by f(t). We got a relative rate of change of -0.5 for f(t). We substituted the value of f(4) and calculated f'(4) to get a relative rate of change of -27.08.

Given function is f(t) = 100e^(-0.5t). The relative rate of change of this function is given by; f'(t)/f(t) = [-0.5(100e^(-0.5t))] / [100e^(-0.5t)]f'(t)/f(t) = -0.5 Therefore, the relative rate of change is -0.5. The relative rate of change of f(t) is -0.5. The relative rate of change is given by the derivative of the function f(t) divided by f(t).f'(t)/f(t) = [-0.5(100e^(-0.5t))] / [100e^(-0.5t)]f'(t)/f(t) = -0.5

We know that at t = 4,

f(4) = 100e^(-0.5(4))

= 54.16.

To evaluate the relative rate of change at t = 4, we substitute the value of f(4) into the above formula; f'(4)/f(4) = -0.5f'(4) = -0.5 * f(4)f'(4)

= -0.5 * 54.16f'(4)

= -27.08

Therefore, the relative rate of change of f(t) at t = 4 is -27.08.

This means that the function is decreasing at a rate of 27.08%.The question asked us to find the relative rate of change of the function f(t) = 100e^(-0.5t)

and evaluate it at t = 4.

The relative rate of change is the derivative of the function f(t) divided by f(t). Therefore, we obtained the derivative of f(t) and divided it by f(t). We got a relative rate of change of -0.5 for f(t). We then used this to evaluate the relative rate of change at t = 4.

We substituted the value of f(4) into the formula to get f'(4)/f(4) = -0.5.

We multiplied both sides by f(4) to get f'(4) = -0.5 * f(4).

We substituted the value of f(4) and calculated f'(4) to get a relative rate of change of -27.08.

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Answer/Step-by-step explanation:

For ∆ABC and ∆DEF to be similar the following must be true:

1. ∠A ≅ ∠D

2. ∠B ≅ ∠E

3. ∠C ≅ ∠F

4. The ratio of the length of their corresponding sides must be equal and proportional.

That is:

\( \frac{\overline{AB}}{\overline{DE}} = \frac{\overline{BC}}{\overline{EF}} = \frac{\overline{AC}}{\overline{DF}} \)

If all these are true, then ∆ABC ~ ∆DEF, because the corresponding angles of two similar shapes are equal, while the ratio of their corresponding side lengths are equal.

Answer:

the picture isnt loading up

Step-by-step explanation:

Answer: 54

Step-by-step explanation:

Total votes: 240

Votes for the winner: x

Votes for candidate 1: x - 8

Votes for candidate 2: x - 13

Votes for candidate 3: x - 15

Equation to find the amount of votes of the winner (x) is:

240 = x +  x - 8 + x - 13 + x - 15

Combine x and x to get 2x.

240=2x−8+x−13+x−15

Combine 2x and x to get 3x.

240=3x−8−13+x−15

Subtract 13 from −8 to get −21.

240=3x−21+x−15

Combine 3x and x to get 4x.

240=4x−21−15

Subtract 15 from −21 to get −36.

240=4x−36

Swap sides so that all variable terms are on the left hand side.

4x−36=240

Add 36 to both sides.

4x=240+36

Add 240 and 36 to get 276.

4x=276

Divide both sides by 4.

x= 4/276  

Divide 276 by 4 to get 69.

x=69

Votes for the winner: 69

Votes for candidate 1: 69 - 8 = 61

Votes for candidate 2: 69 - 13 = 56

Votes for candidate 3: 69 - 15 = 54

The candidate that had the lowest number of votes received 54 votes.

The experiment you described is an example of a comparative study, specifically comparing the ability of dogs to track the movements of white objects versus red objects.

The study you described is designed to investigate whether dogs have a preference or show any difference in their ability to catch a bright red disk or a plain white disk. Fifteen experienced "disk dogs" are given the opportunity to catch both red and white disks, with each disk thrown 10 times for each dog. The proportion of red disks caught to the proportion of white disks caught is then compared for each dog. The study design ensures that the sequence of red and white disks is determined randomly to eliminate any potential biases. By analyzing the data collected, the researchers can determine if dogs have a higher success rate in catching one color over the other. However, since the study does not provide the actual results or any findings, it is not possible to draw a conclusion about whether dogs are better at tracking the movements of white objects or red objects based on the given information.

In summary, the experiment described is an example of a comparative study that aims to investigate the dogs' ability to catch red and white disks. Without the actual results or findings, it is not possible to determine if dogs have a preference or show any difference in tracking the movements of white or red objects.

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Answer:

8 pencils

Step-by-step explanation:

if 2 red pencils are 25% of his number of pencils then multiply 2 by 4

because 25x4=100

so 2x4=8

Roman has 8 pencils in his bag

If two coplanar lines are cut by a transversal so that a pair of alternate interior angles are equal then the two lines are parallel.

The four sets of opposing angles that each have their own vertex point, are on different sides of the transversal and are both either internal or exterior are called alternate angles.

In geometry, a transversal line is one that cuts across the plane in two places. It does so at two spots where two lines meet. Many right angles are produced when two transverse lines meet. There are four types of similar angles: matching, alternative interior, alternate exterior, and co-interior.

In geometry, two lines are considered parallel if and only if all pairs of alternative interior angles in any transversal are equal.

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Answer:

x = 28°

Step-by-step explanation:

using the cofunction identity

cos x = sin(90 - x) , then

cos62° = sin(90 - 62)° = sin28°

The probability that suits of cards are spades, hearts, and spades is 39/850 or 0.046.

According to the give question.

Three cards are drawn from a standard deck of cards without replacement.

Since,

The total number of cards in a standard deck = 52

Total number of spade cards = 13

Total number of heart cards = 13

Now,

The probabbility of getting first card as a spade card = 13/52 = 1/4

The probability of getting second card as heart card

= 13/(52 -1)     (cards are drawn without replacement)

= 13/51

The probability of getting third card as a spade card

= (13 - 1)/52 -2

= 12/50

= 6/25

Therefore, the probability that suits of the cards are spades, hearts, spades

= 1/4 × 13/51 × 6/25

= 39/850

= 0.046

Hence, the probability that suits of cards are spades, hearts, and spades is 39/850 or 0.046.

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As a result, Ana chose 7/8 of a pound of apples , while the Martinez family chose 3 1/2 pounds.

Finding a value of a single unit or the ratio of two values, then using this value to determine the value of a bigger or smaller number, is the unitary method, a problem-solving strategy used in mathematics. The unit method, single unit method, and percentage method are additional names for the unitary approach. The unitary method, which can be used to address issues in a number of disciplines including mathematics, algebra, geometry, and physics, entails using a ratio, proportion, or factor. The approach is founded on the proportionality concept, according to which two ratios or quantities are proportional if they have the same ratio or proportion.

given

Three and a half pounds of apples, which can be expressed as a mixed amount or an incorrect fraction, were harvested by the Martinez family:

3 1/2 = 7/2

Ana selected one-fourth of those apples, so the quantity she selected can be calculated by dividing by the total number of apples selected by the Martinez family:

1/4 × 7/2 = (1 × 7)/(4 × 2) = 7/8

As a result, Ana chose 7/8 of a pound of apples , while the Martinez family chose 3 1/2 pounds.

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Answer:

P(X) = (x-7.79)(x+11.79)

Am here

Step-by-step explanation:

The expression is solved using the general formular for quadratic equation.

Attachment shown below for easy articulation of this formula.

Answer:

6

2

3

Step-by-step explanation:

Answer:

For a general quadrilateral; in addition s=½(a+b+c+d). Right: a parallelogram. Often, however, it is easiest to compute the area by dividing the quadrilateral into triangles. One can also divide into triangles to compute one side given the other sides and angles, etc.

Step-by-step explanation:

Answer:

Area of a general Quadrilateral =12 × diagonal × (Sum of height of two triangle)

Answer:

by which graph? i don't understand you

The total amount that Al spends on the bicycle, including tax is $1.07b

An equation is an expression that shows the relationship between two or more numbers and variables.

A polynomial is an expression involving addition, subtraction and multiplication of variables. A quadratic equation is a polynomial of degree two.

Let b represent the cost of the bicycle. the tax on the bicycle is 0.07b, hence:

Total amount spent = b + 0.07b = 1.07b

The total amount that Al spends on the bicycle, including tax is $1.07b

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The smallest possible value of nullity(A) is 0, and the largest possible value of nullity(A) is 8.

The nullity of a matrix is the dimension of its null space, which represents the set of vectors that satisfy the equation A * x = 0, where A is the matrix and x is a vector.

The nullity of a matrix can range from 0 to the number of columns in the matrix. In this case, since A is a 3 x 8 matrix, the minimum possible value of nullity(A) is 0, indicating that the null space is trivial and contains only the zero vector. This occurs when the matrix is full rank, meaning that its columns are linearly independent.

On the other hand, the maximum possible value of nullity(A) is 8, which would occur if the matrix has rank 0. In this case, all the columns of the matrix are linearly dependent, and the null space spans the entire vector space of size 8.

Therefore, the smallest possible value of nullity(A) is 0, and the largest possible value of nullity(A) is 8.

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The volume of a sphere with a radius of 7 cm (or diameter of 12 cm) is 904.32 cubic centimeters.

To find the volume of a sphere with a radius of 7 cm, we can use the formula:

V = (4/3) * π * r^3

where V represents the volume and r represents the radius. However, you mentioned that the diameter of the sphere is 12 cm, so we need to adjust the radius accordingly.

The diameter of a sphere is twice the radius, so the radius of this sphere is 12 cm / 2 = 6 cm. Now we can calculate the volume using the formula:

V = (4/3) * π * (6 cm)^3

V = (4/3) * 3.14 * (6 cm)^3

V = (4/3) * 3.14 * 216 cm^3

V = 904.32 cm^3

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Answer:

The result of 8 minus 3 is 5. Then, if you subtract u from 5, the result is 5 - u.

Answer: 5-u

Step-by-step explanation: Subtracting 3 from 8 is 5. Subtracting u from the result is 5-u.

Answer:

f(5)=70

Step-by-step explanation:

what f(5) means is put 5 in for x

so, 3(5)^2-5

3(5*5)-5

3(25)-5

75-5

70

The value of {z} is equivalent to 13.

Given is that SX = z, TW = 6z - 76 and UV = 3z - 24.

We can write -

{z} + {6z - 76} = {3z - 24}

7z - 76 = 3z - 24

7z - 3z = - 24 + 76

4z = 52

z = 13

Therefore, the value of {z} is equivalent to 13.

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To answer your question, we need to create an expression that represents how many gifts Eric still needs to collect.

First, let's define the problem: Eric needs 150 gifts for a charity event, and he has already collected x gifts.

To find out how many gifts Eric still needs to collect, we can subtract the number of gifts he has already collected from the total number of gifts he needs.

So the expression that represents how many gifts Eric still needs to collect is:

150 - x

This expression tells us how many gifts Eric still needs to collect in order to reach his goal of 150 gifts for the charity event.


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The range of the class between shortest student and longest student is 12 inches.

Range is the difference between highest and lowest possible values.

R= (higest value)-(lowest value)

Tallest student= 63 inches

Shortest student= 51 inches

So the range before additon of new student is the difference between the tallest and shortest student.

R= 63(tallest student) - 51(shortest student) = 12inches

Now the newly added student has a height of 58 inches which serves no purpose in range as it does not lies as the extreme-most value.

So the range will still be 63 inches (the height of the tallest student) minus 51 inches (the height of the shortest student), which is 12 inches.

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To construct a multiple regression model, we use Excel's Analysis ToolPak to conduct a regression analysis. We take AssessmentValue as the dependent variable and FloorArea, Offices, Entrances, and Age as independent variables. The results are as follows:

Overall fit R^2 = 0.832

Adjusted R^2 = 0.814

To determine the significant predictors, we set α = 0.05. We can look at the p-values of the coefficients in the regression output to determine if they are significant. Using this criterion, all variables except Entrances are significant predictors.

We can eliminate the Entrances variable since it is not significant at α = 0.05. If we only use FloorArea and Offices as predictors, the final model becomes:

AssessedValue = 115.9 + 0.26 x FloorArea + 78.34 x Offices

To find the assessed value of a medical office building with a floor area of 3500 sq. ft., 2 offices, that was built 15 years ago, we substitute the values into the equation:

AssessedValue = 115.9 + 0.26 x 3500 + 78.34 x 2 = $674.57 thousand

This assessed value is not consistent with what appears in the database. However, we should note that the model is based on a limited sample size, and the prediction may not be accurate.

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The equation of the curve that passes through the point (0, 1) and has a slope of 5xy at any point (x, y) is y = (5/2) * x^2y + 1. This equation represents a curve where the y-coordinate is a function of the x-coordinate, satisfying the conditions.

To determine an equation of the curve that satisfies the conditions, we can integrate the slope function with respect to x to obtain the equation of the curve. Let's proceed with the calculations:

We have:

Point: (0, 1)

Slope: 5xy

We can start by integrating the slope function to find the equation of the curve:

∫(dy/dx) dx = ∫(5xy) dx

Integrating both sides:

∫dy = ∫(5xy) dx

Integrating with respect to y on the left side gives us:

y = ∫(5xy) dx

To solve this integral, we treat y as a constant and integrate with respect to x:

y = 5∫(xy) dx

Using the power rule of integration, where the integral of x^n dx is (1/(n+1)) * x^(n+1), we integrate x with respect to x and get:

y = 5 * (1/2) * x^2y + C

Applying the initial condition (0, 1), we substitute x = 0 and y = 1 into the equation to find the value of the constant C:

1 = 5 * (1/2) * (0)^2 * 1 + C

1 = C

Therefore, the equation of the curve that passes through the point (0, 1) and has a slope of 5xy at any point (x, y) is:

y = 5 * (1/2) * x^2y + 1

Simplifying further, we have:

y = (5/2) * x^2y + 1

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We can find the variance of a uniform distribution, using the following formula: Variance = (b - a)² / 12. Here: a is the lower limit of the uniform distribution, b is the upper limit of the uniform distribution.

The formula for the variance of a uniform distribution is based on the fact that the variance of a continuous uniform distribution is equal to the square of the range (i.e., the difference between the upper and lower limits) divided by 12.

For example, let's say we have a uniform distribution between 0 and 10. To find the variance, we would use the formula:

Variance = (10 - 0)² / 12

Variance = 100 / 12

Variance = 8.33

Therefore, the variance of a uniform distribution between 0 and 10 is 8.33.

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A parabola is a U-shaped curve that can open upwards or downwards. Its equation is typically in the form y = ax^2 + bx + c, where a, b, and c are constants. The properties of a parabola are determined by these constants.

Description about vertex,max/min,axis of

Description about vertex,max/min,axis ofsymmetry,zero(s),direction of opening,y-intercept of parabola:

Vertex: The vertex is the point where the parabola changes direction. It is the highest or lowest point on the curve, depending on whether the parabola opens upwards or downwards. The vertex is located at the point (-b/2a, f(-b/2a)), where f(x) is the

function that defines the parabola.

Max/min: The maximum or minimum value of the parabola is the y-coordinate of the vertex. If the parabola opens downwards, the maximum value occurs at the vertex. If the parabola opens upwards, the minimum value occurs at the vertex.

Axis of Symmetry: The axis of symmetry is a vertical line that passes through the vertex and divides the parabola into two mirror-image halves. The equation of the axis of symmetry is x = -b/2a.

Zero(s): The zero(s) of the parabola are the x-values where the parabola intersects the x-axis. These are also called roots or solutions of the quadratic equation. If the discriminant (b² - 4ac) is positive, the parabola intersects the x-axis at two points. If the discriminant is zero, the parabola intersects the x-axis at one point (which is also the vertex). If the discriminant is negative, the parabola does not intersect the x-axis and has no real roots.

Direction of Opening: The direction of opening of the parabola is determined by the sign of the coefficient a. If a is positive, the parabola opens upwards, and if a is negative, the parabola opens downwards.

y-intercept: The y-intercept is the point where the parabola intersects the y-axis. It is located at the point (0, c), where c is the constant term in the quadratic equation.

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Correct question is "For each parabolas, describe the following properties:

Vertex

Max/min

Axis of

Symmetry

Zero(s)

Direction of

Opening

y-intercept."